Home
Class 9
MATHS
In Figure, /E >/A\ a n d\ /C >/D . Prove...

In Figure, `/_E >/_A\ a n d\ /_C >/_D` . Prove that `A D > E C`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    RD SHARMA ENGLISH|Exercise All Questions|306 Videos

  • CONSTRUCTION

    RD SHARMA ENGLISH|Exercise All Questions|40 Videos

Similar Questions

Explore conceptually related problems

In Figure, /_B C D=/_A D C\ a n d\ /_A C B=/_B D Adot Prove that A D=B C\ a n d\ /_A=/_B

In a \ A B C ,\ A D bisects /_A\ a n d\ /_C >/_Bdot Prove that /_A D B >\ /_A D C .

In Figure, /_B C D=/_A D C and /_A C B=/_B D Adot Prove that A D=B C and /_A=/_B

In Figure, A E bisects /_C A D\ a n d\ /_B=/_Cdot Prove that A E||B C

In Figure, if A B=A C\ a n d\ B E=C D , prove that A D=A Edot

In Figure, A B||C F\ a n d\ B C||E D . Prove that /_A B C=\ /_F D E

In Figure, A B=A C\ a n d\ D B=D Cdot\ Prove that /_A B D=/_A C D

In Figure, if /_\ A B E~= /_\A C D , prove that /_\ A D E ~ /_\ A B C .

In Figure, given that /_A O C=/_A C O\ a n d\ /_B O D=/_B D O . Prove that A C||D B

In Figure, if B D_|_A C and C E_|_A B , prove that (i) /_\A E C ~ /_\A D B (ii) (C A)/(A B)=(C E)/(D B)

RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. In Figure, P Q R S is a quadrilateral in which diagonals P R\ a n d\...

    Text Solution

    |

  2. Of all the lines segments drawn from a point P to a line m not cont...

    Text Solution

    |

  3. In Figure, /E >/A\ a n d\ /C >/D . Prove that A D > E C

    Text Solution

    |

  4. In Figure, T is a point on side Q R of P Q R and S is a point such th...

    Text Solution

    |

  5. In Figure, A C > A B\ a n d\ D is the point on A C such that A B=A Ddo...

    Text Solution

    |

  6. In Figure, A B\ a n d\ C D are respectively the smallest and longes...

    Text Solution

    |

  7. In A B C , if /A=40^0a n d\ /B=60^0dot Determine the longest and s...

    Text Solution

    |

  8. In a A B C , if /B=/C=45^0, which is the longest side?

    Text Solution

    |

  9. In A B C , side A B is produced to D so that B D=B Cdot If /B=60^0\ a...

    Text Solution

    |

  10. Is it possible to draw a triangle with sides of length 2c m ,\ 3c m...

    Text Solution

    |

  11. In A B C ,\ /B=35^0,/C=65^0 and the bisector of /B A C meets B C in P...

    Text Solution

    |

  12. O is any point in the interior of A B Cdot Prove that A B+A C > O...

    Text Solution

    |

  13. Prove that the perimeter of a triangle is greater than the sum of i...

    Text Solution

    |

  14. Prove that in a quadrilateral the sum of all the sides is greater t...

    Text Solution

    |

  15. In Figure, prove that C D+D A+A B+B C >2A C

    Text Solution

    |

  16. Which of the following statements are true (T) and which are false (...

    Text Solution

    |

  17. Fill in the blanks to make the following statements true: In a righ...

    Text Solution

    |

  18. In two congruent triangles A B C\ a n d\ D E F , if A B=D E\ a n d\...

    Text Solution

    |

  19. In two triangles A B C\ a n d\ D E F , it is given that /A=/D ,\ /B=/E...

    Text Solution

    |

  20. If A B C\ a n d\ D E F are two triangles such that A C=2. 5\ c m ,\ ...

    Text Solution

    |